( 4.53 - 3.07 )^2 ( 3.07 - 2.15 ) ( 2.15 - 4.53 ) + \, ( 3.07 - 2.15 )^2 ( 2.15 - 4.53 ) ( 4.53 - 3.07 ) + \,\, ( 2.15 - 4.53 )^2 ( 4.53 - 3.07 ) ( 3.07 - 2.15 ) is simplified to :

Answer: Option D

Given expression :
$$=\frac{{\left(4.53-3.07\right)}^3+{\left(3.07-2.15\right)}^3+{\left(2.15-4.53\right)}^3}{\left(4.53-3.07\right)\left(3.07-2.15\right)\left(2.15-4.53\right)}$$
Let (4.53 - 3.07) = $$a$$, (3.07 - 2.15) = $$b$$ and (2.15 - 4.53) = $$c$$
$$\begin{array}{rl}& =\frac{a^3+b^3+c^3}{abc}\\ & =\frac{3abc}{abc}\\ & =3\end{array}$$
[∵ If a + b + c = 0, a ³ + b³ + c³ = 3abc]